## Communicated by M. Lachowicz Let f ∈ L 2,-l (R 3 ), where We prove the decomposition f =-∇u+g, with g divergence free and u is a solution to the problem in R 3 Since f, u, g are defined in R 3 we need a sufficiently fast decay of these functions as |x|→∞.
Weighted Sobolev Spaces and Exterior Problems for the Helmholtz Equation
✍ Scribed by Neittaanmaki, P.; Roach, G. F.
- Book ID
- 120150748
- Publisher
- The Royal Society
- Year
- 1987
- Tongue
- English
- Weight
- 338 KB
- Volume
- 410
- Category
- Article
- ISSN
- 0962-8444
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